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Finding the Fourth Proportional to 298,584.38, 412,320.29 and 189,724.58

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Solution

The fourth proportional to 298,584.38, 412,320.29 and 189,724.58 is: 261,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584.38 : 412,320.29 = 189,724.58 : x
  2. Step 2: Convert to fraction form
    298,584.38/412,320.29 = 189,724.58/x
  3. Step 3: Cross multiply
    298,584.38x = 412,320.29 × 189,724.58
  4. Step 4: Simplify right side
    298,584.38x = 78,227,290,835.50
  5. Step 5: Solve for x
    x = 78,227,290,835.50/298,584.38
  6. Step 6: Final answer
    x = 261,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.